Shower Pan Mortar Bed: Pre-Slope Thickness and Volume

How thick a shower pan's mortar bed is at the walls, how much mud it takes and how many bags to buy.

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No published worked example is on file for this calculation. It is checked against a hand-worked derivation of its method and an independent reference test.

Details, formula, and sources

ScopeThe perimeter is screeded level and the drain low, so the bed is a shallow pyramid of flat facets: the farthest wall sets the rim at the minimum pitch toward the drain, 1/4 in per ft (the liner pitch of IPC 2027 421.5.2), and the nearer walls run steeper. Each facet averages a third of the drain thickness plus two-thirds of the rim, so the whole bed does. A 5 by 3 ft pan with a centered drain and 3/4 in of mud at the drain has a 1.375 in rim, averages 1.17 in, and takes 1.46 cu ft, 4 bags at 0.45 cu ft; a 6 by 4 ft pan with the drain 1.5 ft from one end and 1 in at the drain has a 2.125 in rim and a 3/4 in per ft facet at the near end, steep enough to check against your plumbing code. Run the pre-slope and the top bed separately.

Formula or tablerim thickness = drain thickness + pitch x the largest drain-to-wall distance (level perimeter); facet pitch toward each wall = (rim - drain) / that wall's distance; average thickness = (drain + 2 x rim) / 3; volume = length x width x average / 12; bags = ceil(volume / yield).

Source and editionIPC 2027 (International Plumbing Code). Section 421.5.2 (Section 417.5.2 in IPC 2021), read at codes.iccsafe.org on 2026-10-19: liners pitched 1/4 unit vertical in 12 units horizontal toward the drain and turned up not less than 2 in above the finished threshold. IPC 2027 sets no maximum shower-floor slope.

Free accessFree to read at codes.iccsafe.org.

What governsEstimate. AHJ and licensed plumber / gas fitter govern. Verify against the IPC / IFGC edition adopted in your jurisdiction.

API field nameslength_ft, width_ft, drain_x_ft, drain_y_ft, drain_thickness_in, slope_in_per_ft, bag_yield_cuft, rim_thickness_in, average_thickness_in, volume_cuft, bags

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